# Full text of "Analytical Mechanics"

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```INDEX
351
Kinematics, 2.
Kinetic reaction, angular, 218.
linear, 100.
measure of angular, 220.
measure of linear, 103.
normal, 106.
tangential, 105. Kinetics, 2.
Lagrange's method, 325. Lever arm, 39. Logarithmic decrement, 324. Logarithmic tables, 343.
Maclaurin's theorem, 338. Mass, 74, 102.
and weight, 109.
center of, 140.
comparison of, 110.
of a planet, 293. Mechanical advantage, 183. Mechanics, scope of, 1.
divisions of, 2. Moment of force, 38. Moment of inertia, 152.
experimental determination of, 319.
experimental definition of, 220, 221.
mathematical definition of, 152.
theorems on, 154. Momentum, angular, 266.
conservation of angular, 268.
conservation of, 241.
force and, 239.
linear, 239.
of a system, 241.
moment of, 266.
torque and angular, 267. Motion, about a fixed axis, 224.
iibout instantaneous axes, 228.
along an inclined plane, 16.
analysis of, 73.
aperiodic, 322.
damped harmonic, 320.
elliptic harmonic, 306.
equations of, 114.
Motion, in resisting media, 130. of center of mass, 242. of falling bodies, 114, 127. of two gravitating particles, 287. of projectiles, 120. of a particle, 100, 113. of a rigid body, 30, 218. of rotation, 30. of translation, 30. periodic, 133, 297. relativity of, 73. relative to center of mass, 272. simple harmonic, 133, 297. uniformly accelerated, 113. uniform circular, 125. uniplanar, 31, 228. where mass varies, 253.
Newtonian, field of force, 210.
law of force, 210.
potential, 211. Notation, 3.
table of, xi.
Orbits, equation of, 285.
types of, 290. Oscillations, small, 325.
Parallelogram method, 5. Particle, 14.
auxiliary, 299. Pendulum, ballistic, 271.
bifUar, 315.
compound, 308.
equivalent simple, 312.
physical, 308.
reversible, 214.
simple, 311.
torsional, 318. Percussion, center of, 279. Period, 136, 292, 298.
effect of damping on the, 324.
half value, 66, 70. Periodic function, 298. Phase, 298.```